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Finding the Fourth Proportional to 1,836.52, 2,751.34 and 971.40

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Solution

The fourth proportional to 1,836.52, 2,751.34 and 971.40 is: 1,455.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.52 : 2,751.34 = 971.40 : x
  2. Step 2: Convert to fraction form
    1,836.52/2,751.34 = 971.40/x
  3. Step 3: Cross multiply
    1,836.52x = 2,751.34 × 971.40
  4. Step 4: Simplify right side
    1,836.52x = 2,672,651.68
  5. Step 5: Solve for x
    x = 2,672,651.68/1,836.52
  6. Step 6: Final answer
    x = 1,455.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.